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Shins coffee shop mix a blend that is and make sure of two types of coffee type a coffee cost Shands $4.05 per pound anti-because of the cost $5.25 per pound this month she made 157 pound of the blend braid total cost of $752.25 how many pounds of type B coffee did she use

Answer :

To find the number of pounds of type B coffee used, create a system of equations and solve for the unknown quantity, 'x'.

By substituting the values into the equations, it can be determined that Shands used 58.75 pounds of type B coffee for the blend.

To find the number of pounds of type B coffee used, we can create a system of equations based on the information given.

Let's denote the unknown quantity as 'x' (pounds of type B coffee used). From the information given, we can set up the following equations:

Equation 1: 4.05x + 5.25(157 - x) = 752.25

Equation 2: x = the number of pounds of type B coffee used

To solve this system, we can multiply out and simplify the equation:

4.05x + 5.25(157 - x) = 752.25

4.05x + 822.75 - 5.25x = 752.25

Combine like terms:

-1.20x + 822.75 = 752.25

Subtract 822.75 from both sides:

-1.20x = -70.50

Divide both sides by -1.20 to solve for 'x':

x = -70.50 / -1.20 = 58.75.

Therefore, Shands used 58.75 pounds of type B coffee for the blend.

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